10x^2=x^2+64

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Solution for 10x^2=x^2+64 equation:


Simplifying
10x2 = x2 + 64

Reorder the terms:
10x2 = 64 + x2

Solving
10x2 = 64 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
10x2 + -1x2 = 64 + x2 + -1x2

Combine like terms: 10x2 + -1x2 = 9x2
9x2 = 64 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9x2 = 64 + 0
9x2 = 64

Divide each side by '9'.
x2 = 7.111111111

Simplifying
x2 = 7.111111111

Take the square root of each side:
x = {-2.666666667, 2.666666667}

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